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Finding the Fourth Proportional to 4,153.77, 5,732.17 and 2,290.77

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Solution

The fourth proportional to 4,153.77, 5,732.17 and 2,290.77 is: 3,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.77 : 5,732.17 = 2,290.77 : x
  2. Step 2: Convert to fraction form
    4,153.77/5,732.17 = 2,290.77/x
  3. Step 3: Cross multiply
    4,153.77x = 5,732.17 × 2,290.77
  4. Step 4: Simplify right side
    4,153.77x = 13,131,083.07
  5. Step 5: Solve for x
    x = 13,131,083.07/4,153.77
  6. Step 6: Final answer
    x = 3,161.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.